Update

Author: tom mcandrew

outbreak_science/chap2.ipynb

@@ -943,13 +943,11 @@
     "    3. There are 2 infectors and $p=1/20$\n",
     "3. An alternative to the Reed-Frost model is Greenwood's model. For Greenwood's, the probability of infection is equal to $p$ and not $1-(1-p)^I_{t}$ as it is in the Reed-Frost Dynamical System. That is, Greenwood's model assumes exposure to two or infectors is equivalent to exposure of a single infector. In a brief 2-3 sentences, please describe when Greenwood's model may an appropriate model of the spread of a pathogen (as opposed to the Reed-Frost model). \n",
     "4. In the section `Dynamics assumed at start of outbreak' we made assumptions about $S_{0}$ and the form of $1-(1-p)^{i_{0}}$ to arrive at an approximation solution for how an epidemic grows. To arrive at a better approximation, please recompute the dynamics at the start of an outbreak using the following, more accurate, assumptions\n",
-    "   \n",
     "\\begin{align}\n",
     "    S_{0} &= (N-1)\\\\\n",
     "    e^{x} &\\approx 1 + x + \\frac{x^{2}}{2}\\\\\n",
     "    \\log(1-x) &\\approx -x -\\frac{x^{2}}{2}\n",
     "\\end{align}\n",
-    "\n",
     "Your final answer will be a more complicated expression than our original assumptions that led to $Np$.\n",
     "Do you feel that the more complicated mathematical expression that you found is worth the extra computation? Why or why not? \n",
     "\n",